| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
Damon loaned Roger $1,500 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $75 | |
| $42 | |
| $10 | |
| $63 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,500
i = 0.05 x $1,500
i = $75
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 3:1 | |
| 9:2 | |
| 3:8 | |
| 5:6 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
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commutative |
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PEDMAS |
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associative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
A machine in a factory has an error rate of 9 parts per 100. The machine normally runs 24 hours a day and produces 9 parts per hour. Yesterday the machine was shut down for 2 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 136.5 | |
| 139.8 | |
| 180.2 | |
| 138 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{9}{100} \) x 9 = \( \frac{9 \times 9}{100} \) = \( \frac{81}{100} \) = 0.81 errors per hour
So, in an average hour, the machine will produce 9 - 0.81 = 8.19 error free parts.
The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 8.19 = 180.2 error free parts were produced yesterday.
The total water usage for a city is 5,000 gallons each day. Of that total, 24% is for personal use and 49% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 7,500 | |
| 9,900 | |
| 1,250 | |
| 3,450 |
49% of the water consumption is industrial use and 24% is personal use so (49% - 24%) = 25% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{25}{100} \) x 5,000 gallons = 1,250 gallons.